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Finding the Fourth Proportional to 98,535.78, 147,818.27 and 36,201.42

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Solution

The fourth proportional to 98,535.78, 147,818.27 and 36,201.42 is: 54,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,535.78 : 147,818.27 = 36,201.42 : x
  2. Step 2: Convert to fraction form
    98,535.78/147,818.27 = 36,201.42/x
  3. Step 3: Cross multiply
    98,535.78x = 147,818.27 × 36,201.42
  4. Step 4: Simplify right side
    98,535.78x = 5,351,231,275.94
  5. Step 5: Solve for x
    x = 5,351,231,275.94/98,535.78
  6. Step 6: Final answer
    x = 54,307.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.